Consider the GKZ system representing the Gauss hypergeometric function as in [SST, Example 1.2.9].
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[SST, Example 1.4.23] computes the connection matrices for this system with constants $a=1/2,b=1/2,c=1$. Using the connectionMatrices function, we can find the system for arbitrary constants.
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Substituting the constants, we note that example in [SST] contains a small misprint.
[SST] M. Saito, B. Sturmfels, and N. Takayama. Gröbner Deformations of Hypergeometric Differential Equations. Volume 6 of Algorithms and Computation in Mathematics. Springer, 2000.
The source of this document is in /build/reproducible-path/macaulay2-1.25.06+ds/M2/Macaulay2/packages/ConnectionMatrices/examples.m2:141:0.